Tools for Assessing Dividend Policy Aswath Damodaran 1 Assessing Dividend Policy Approach 1: The Cash/Trust Nexus – Assess how much cash a firm has available to pay in dividends, relative what it returns to stockholders. Evaluate whether you can trust the managers of the company as custodians of your cash. Approach 2: Peer Group Analysis – Pick a dividend policy for your company that makes it comparable to other firms in its peer group. 2 I. The Cash/Trust Assessment Step 1: How much could the company have paid out during the period under question? Step 2: How much did the the company actually pay out during the period in question? Step 3: How much do I trust the management of this company with excess cash? – How well did they make investments during the period in question? – How well has my stock performed during the period in question? 3 A Measure of How Much a Company Could have Afforded to Pay out: FCFE The Free Cashflow to Equity (FCFE) is a measure of how much cash is left in the business after non-equity claimholders (debt and preferred stock) have been paid, and after any reinvestment needed to sustain the firm’s assets and future growth. Net Income + Depreciation & Amortization = Cash flows from Operations to Equity Investors - Preferred Dividends - Capital Expenditures - Working Capital Needs - Principal Repayments + Proceeds from New Debt Issues = Free Cash flow to Equity 4 Estimating FCFE when Leverage is Stable Net Income - (1- ) (Capital Expenditures - Depreciation) - (1- ) Working Capital Needs = Free Cash flow to Equity = Debt/Capital Ratio For this firm, – Proceeds from new debt issues = Principal Repayments + (Capital Expenditures - Depreciation + Working Capital Needs) 5 An Example: FCFE Calculation Consider the following inputs for Microsoft in 1996. In 1996, Microsoft’s FCFE was: – – – – – Net Income = $2,176 Million Capital Expenditures = $494 Million Depreciation = $ 480 Million Change in Non-Cash Working Capital = $ 35 Million Debt Ratio = 0% FCFE = Net Income - (Cap ex - Depr) (1-DR) - Chg WC (!-DR) = $ 2,176 - (494 - 480) (1-0) = $ 2,127 Million - $ 35 (1-0) 6 Microsoft: Dividends? By this estimation, Microsoft could have paid $ 2,127 Million in dividends/stock buybacks in 1996. They paid no dividends and bought back no stock. Where will the $2,127 million show up in Microsoft’s balance sheet? 7 0 Dividends with negative FCFE >100% 95-100% 90-95% 85-90% 80-85% 75-80% 70-75% 65-70% 60-65% 55-60% 50-55% 45-50% 40-45% 35-40% 30-35% 25-30% 20-25% 15-20% 10-15% 5-10% 0 -5% Number of firms Dividends versus FCFE: U.S. Figure 11.2: Dividends paid as % of FCFE 300 250 200 150 100 50 Dividends/FCFE 8 The Consequences of Failing to pay FCFE Chrysler: FCFE, Dividends and Cash Balance $3,000 $9,000 $8,000 $2,500 $7,000 $2,000 $1,500 $5,000 $4,000 $1,000 Cash Balance Cash Flow $6,000 $3,000 $500 $2,000 $0 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 ($500) $1,000 $0 Year = Free CF to Equity = Cash to Stockholders Cumulated Cash 9 6 Application Test: Estimating your firm’s FCFE In General, Net Income + Depreciation & Amortization - Capital Expenditures - Change in Non-Cash Working Capital - Preferred Dividend - Principal Repaid + New Debt Issued = FCFE Compare to Dividends (Common) + Stock Buybacks If cash flow statement used Net Income + Depreciation & Amortization + Capital Expenditures + Changes in Non-cash WC + Preferred Dividend + Increase in LT Borrowing + Decrease in LT Borrowing + Change in ST Borrowing = FCFE -Common Dividend - Decrease in Capital Stock + Increase in Capital Stock 10 A Practical Framework for Analyzing Dividend Policy How much did the firm pay out? How much could it have afforded to pay out? What it could have paid out What it actually paid out Net Income Dividends - (Cap Ex - Depr’n) (1-DR) + Equity Repurchase - Chg Working Capital (1-DR) = FCFE Firm pays out too little FCFE > Dividends Firm pays out too much FCFE < Dividends Do you trust managers in the company with your cash? Look at past project choice: Compare ROE to Cost of Equity ROC to WACC What investment opportunities does the firm have? Look at past project choice: Compare ROE to Cost of Equity ROC to WACC Firm has history of good project choice and good projects in the future Firm has history of poor project choice Firm has good projects Give managers the flexibility to keep cash and set dividends Force managers to justify holding cash or return cash to stockholders Firm should cut dividends and reinvest more Firm has poor projects Firm should deal with its investment problem first and then cut dividends 11 A Dividend Matrix 12 More on Microsoft As we noted earlier, Microsoft had accumulated a cash balance of $ 43 billion by 2003 by paying out no dividends while generating huge FCFE. At the end of 2003, there was no evidence that – Microsoft was being penalized for holding such a large cash balance – Stockholders were becoming restive about the cash balance. There was no hue and cry demanding more dividends or stock buybacks. Why? 13 Microsoft’s big dividend in 2004 In 2004, Microsoft announced a huge special dividend of $ 5 billion and made clear that it would try to return more cash to stockholders in the future. What do you think changed? 14 Disney: An analysis of FCFE from 1994-2003 Year 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 Net Income $1,110.40 $1,380.10 $1,214.00 $1,966.00 $1,850.00 $1,300.00 $920.00 ($158.00) $1,236.00 $1,267.00 Depreciation $1,608.30 $1,853.00 $3,944.00 $4,958.00 $3,323.00 $3,779.00 $2,195.00 $1,754.00 $1,042.00 $1,077.00 Capital Expenditures $1,026.11 $896.50 $13,464.00 $1,922.00 $2,314.00 $2,134.00 $2,013.00 $1,795.00 $1,086.00 $1,049.00 Average $1,208.55 $2,553.33 $2,769.96 Change in non-cash WC $654.10 ($270.70 ) $617.00 ($174.00) $939.00 ($363.00) ($1,184.00) $244.00 $27.00 ($264.00) FCFE (before debt CF) $1,038.49 $2,607.30 ($8,923.00) $5,176.00 $1,920.00 $3,308.00 $2,286.00 ($443.00) $1,165.00 $1,559.00 Net CF from Debt $551.10 $14.20 $8,688.00 ($1,641.00) $618.00 ($176.00) ($2,118.00) $77.00 $1,892.00 ($1,145.00) FCFE (after Debt CF) $1,589.59 $2,621.50 ($235.00) $3,535.00 $2,538.00 $3,132.00 $168.00 ($366.00) $3,057.00 $414.00 $22.54 $969.38 $676.03 $1,645.41 15 Disney’s Dividends and Buybacks from 1994 to 2003 Disney Year Dividends (in $) Equity Repurchases (in $) Cash to Equity 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 $153 $180 $271 $342 $412 $0 $434 $438 $428 $429 $571 $349 $462 $633 $30 $19 $166 $1,073 $0 $0 $724 $529 $733 $975 $442 $19 $600 $1,511 $428 $429 Average $ 308.70 $ 330.30 $ 639 16 Disney: Dividends versus FCFE Disney paid out $ 37 million less in dividends (and stock buybacks) than it could afford to pay out (Dividends and stock buybacks wer $639 million; FCFE before net debt issues was $676 million). How much cash do you think Disney accumulated during the period? 17 Disney’s track record on projects and stockholder wealth Figure 11.3: ROE, Return on Stock and Cost of Equity: Disney Disney acquired Cap Cities in 1996 50.00% 40.00% 30.00% 20.00% 10.00% 0.00% -10.00% -20.00% -30.00% 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 Year ROE Return on Stock Cost of Equity 18 Can you trust Disney’s management? Given Disney’s track record over the last 10 years, if you were a Disney stockholder, would you be comfortable with Disney’s dividend policy? Yes No 19 The Bottom Line on Disney Dividends Disney could have afforded to pay more in dividends during the period of the analysis. It chose not to, and used the cash for acquisitions (Capital Cities/ABC) and ill fated expansion plans (Go.com). While the company may have flexibility to set its dividend policy a decade ago, its actions over that decade have frittered away this flexibility. Bottom line: Large cash balances will not be tolerated in this company. Expect to face relentless pressure to pay out more dividends. 20 Aracruz: Dividends and FCFE: 1998-2003 Year 1998 1999 2000 2001 2002 2003 Net Income $3.45 $90.77 $201.71 $18.11 $111.91 $148.09 Average $95.67 Change in Capital non-cash Depreciation Expenditures WC $152.80 $88.31 $76.06 $158.83 $56.47 $2.18 $167.96 $219.37 $12.30 $162.57 $421.49 ($56.76) $171.50 $260.70 ($5.63) $162.57 $421.49 ($7.47) $162.70 $244.64 $3.45 FCFE (before net Debt CF) ($8.11) $190.95 $138.00 ($184.06) $28.34 ($103.37) Net Debt Cashflow $174.27 ($60 4.48) ($292.07) $318.24 $36.35 $531.20 FCFE (after net Debt CF) $166.16 ($413.53) ($154.07) $134.19 $64.69 $427.83 $10.29 $27.25 $37.54 21 Aracruz: Cash Returned to Stockholders Year 1998 1999 2000 2001 2002 2003 1998 2003 Net Income Dividends Payout Ratio $3.45 $90.77 $201.71 $18.11 $111.91 $148.09 $574.04 $24.39 $18.20 $57.96 $63.17 $73.80 $109.31 $346.83 707.51% 20.05% 28.74% 348.87% 65.94% 73.81% 60.42% FCFE $166.16 ($413.53) ($154.07) $134.19 $64.69 $427.83 $225.27 Cash returned to Stockholders $50.79 $18.20 $80.68 $63.17 $75.98 $112.31 $401.12 Cash Returned/FCFE 30.57% NA NA 47.08% 117.45% 26.25% 178.07% 22 Aracruz: Stock and Project Returns Figure 11.4: ROE, Return on Stock and Cost of Equity: Aracruz 40.00% 30.00% 20.00% 10.00% 0.00% -10.00% -20.00% 1998 1999 2000 ROE 2001 Return on stock 2002 2003 1998-2003 Cost of Equity 23 Aracruz: Its your call.. Assume that you are a large stockholder in Aracruz. They have been paying more in dividends than they have available in FCFE. Their project choice has been acceptable and your stock has performed well over the period. Would you accept a cut in dividends? Yes No 24 Mandated Dividend Payouts There are many countries where companies are mandated to pay out a certain portion of their earnings as dividends. Given our discussion of FCFE, what types of companies will be hurt the most by these laws? Large companies making huge profits Small companies losing money High growth companies that are losing money High growth companies that are making money 25 BP: Dividends- 1983-92 1 Net Income 2 3 4 5 6 7 8 10 $712.00 $947.00 $1,256.00 $1,626.00 $2,309.00 $1,098.00 $2,076.00 - (Cap. Exp - Depr)*(1-DR) $1,499.00 $1,281.00 $1,737.50 $1,600.00 $580.00 ∂ Working Capital*(1-DR) $369.50 ($286.50) $678.50 = Free CF to Equity ($612.50) $631.50 ($107.00) ($584.00) $3,764.00 $1,940.50 $1,022.00 Dividends $831.00 $949.00 $1,079.00 $1,314.00 $1,391.00 $1,961.00 $1,746.00 $1,895.00 $2,112.00 $1,685.00 $831.00 $949.00 $1,079.00 $1,314.00 $1,391.00 $1,961.00 $1,746.00 $1,895.00 $2,112.00 $1,685.00 66.16% 58.36% $82.00 $2,140.00 $2,542.00 $2,946.00 9 $1,184.00 $1,090.50 $1,975.50 $1,545.50 $1,100.00 ($2,268.00) ($984.50) $429.50 $1,047.50 ($77.00) ($305.00) ($415.00) ($528.50) $262.00 + Equity Repurchases = Cash to Stockholders Dividend Ratios Payout Ratio Cash Paid as % of FCFE -135.67% 46.73% 119.67% 67.00% 91.64% 68.69% 64.32% 296.63% 177.93% 150.28% -1008.41% -225.00% 36.96% 101.06% 170.84% -2461.04% -399.62% 643.13% Performance Ratios 1. Accounting Measure ROE 9.58% 12.14% 19.82% 9.25% 12.43% 15.60% 21.47% 19.93% 4.27% 7.66% Required rate of return 19.77% 6.99% 27.27% 16.01% 5.28% 14.72% 26.87% -0.97% 25.86% 7.12% Difference -10.18% 5.16% -7.45% -6.76% 7.15% 0.88% -5.39% 20.90% -21.59% 0.54% 26 BP: Summary of Dividend Policy Summary of calculations Average Standard Deviation $571.10 $1,382.29 $3,764.00 ($612.50) Dividends $1,496.30 $448.77 $2,112.00 $831.00 Dividends+Repurchases $1,496.30 $448.77 $2,112.00 $831.00 11.49% 20.90% -21.59% Free CF to Equity Dividend Payout Ratio 84.77% Cash Paid as % of FCFE 262.00% ROE - Required return -1.67% Maximum Minimum 27 BP: Just Desserts! 28 The Limited: Summary of Dividend Policy: 1983-1992 Summary of calculations Average Standard Deviation Maximum Minimum Free CF to Equity ($34.20) $109.74 $96.89 ($242.17) Dividends $40.87 $32.79 $101.36 $5.97 Dividends+Repurchases $40.87 $32.79 $101.36 $5.97 Dividend Payout Ratio 18.59% 19.07% 29.26% -19.84% Cash Paid as % of FCFE -119.52% ROE - Required return 1.69% 29 Growth Firms and Dividends High growth firms are sometimes advised to initiate dividends because its increases the potential stockholder base for the company (since there are some investors - like pension funds - that cannot buy stocks that do not pay dividends) and, by extension, the stock price. Do you agree with this argument? Yes No Why? 30 Summing up… 31 6 Application Test: Assessing your firm’s dividend policy Compare your firm’s dividends to its FCFE, looking at the last 5 years of information. Based upon your earlier analysis of your firm’s project choices, would you encourage the firm to return more cash or less cash to its owners? If you would encourage it to return more cash, what form should it take (dividends versus stock buybacks)? 32 II. The Peer Group Approach - Disney Company Name Astral Media Inc. 'A' Belo Corp. 'A' CanWest Global Comm. Corp. Cinram Intl Inc Clear Channel Cox Rad io 'A' Inc Cumu lus Media Inc Disney (Walt) Emm is Communications Entercom Co mm. Corp Fox Entmt Group Inc Hearst -Argyle Television Inc InterActiveCorp Liberty Media 'A' Lin TV Corp. Metro Goldwyn Mayer Pixar Radio One INC. Rega l Entertainment Group Sinclair Broadcast Sirius Satellite Time Warner Divid en d Yield Divid en d Payo u t 0.00% 1.34% 0.00% 0.00% 0.85% 0.00% 0.00% 0.90% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 2.70% 0.00% 0.00% 0.00% 0.00% 34.13% 0.00% 0.00% 35.29% 0.00% 0.00% 32.31% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 0.00% 66.57% 0.00% 0.00% 0.00% Univision Comm unic. Viacom Inc. 'B' Westwood One XM Satellit e `A' 0.00% 0.56% 0.00% 0.00% 0.00% 19.00% 0.00% 0.00% Average 0.24% 7.20% 33 Peer Group Approach: Deutsche Bank Name Banca Intesa Spa Banco Bilbao Vizcaya Argenta Banco Santander C entral Hisp Barc lays Plc Bnp Par ibas Deuts che Bank Ag -Reg Erste Ban k Der Oester Spark Hbos Plc Hsbc Holdings Plc Lloyds Tsb Group Plc Roya l Bank Of Scotland Group Sanpaolo Imi Spa Societe Generale Standard Chartered P lc Unicredito Italiano Spa Average Dividend Yield 1.57% 0.00% 0.00% 3.38% 0.00% 1.98% 0.99% 2.85% 2.51% 7.18% 3.74% 0.00% 0.00% 3.61% 0.00% 1.85% Dividend Payout 167.50% 0.00% 0.00% 35.61% 0.00% 481.48% 24.31% 27.28% 39.94% 72.69% 38.73% 0.00% 0.00% 46.35% 0.00% 62.26% 34 Peer Group Approach: Aracruz Group Latin Amer ica Emerging Market US All p a per and pu lp Aracruz Dividend Yield 2.86% Dividend Payout 41.34% 2.03% 1.14% 22.16% 28.82% 1.75% 3.00% 34.55% 37.41% 35 A High Growth Bank? Assume that you are advising a small high-growth bank, which is concerned about the fact that its dividend payout and yield are much lower than other banks. The CEO of the bank is concerned that investors will punish the bank for its dividend policy. What do you think? a. I think that the bank will be punished for its errant dividend policy b. I think that investors are sophisticated enough for the bank to be treated fairly c. I think that the bank will not be punished for its low dividends as long as it tries to convey information to its investors about the quality of its projects and growth prospects. 36 Going beyond averages… Looking at the market Regressing dividend yield and payout against expected growth yields: PYT = 0.3889 - 0.738 CPXFR - 0.214 INS + 0.193 DFR - 0.747 EGR (20.41) (3.42) (3.41) (4.80) (8.12) R2 = 18.30% YLD = 0.0205 - 0.058 CPXFR - 0.012 INS + 0.0200 DFR - 0.047 EGR (22.78) (5.87) (3.66) (9.45) (11.53) R2 = 28.5% – PYT = Dividend Payout Ratio = Dividends/Net Income – YLD = Dividend Yield = Dividends/Current Price – CPXFR = Capital Expenditures / Book Value of Total Assets – EGR = Expected growth rate in earnings over next 5 years (analyst estimates) – DFR = Debt / (Debt + Market Value of Equity) – INS = Insider holdings as a percent of outstanding stock 37 Disney and Aracruz ADR vs US Market For Disney – Payout Ratio = 0.3889 - 0.738 (0.021)- 0.214 (0.026) + 0.193 (0.2102) 0.747 (0.08) = 34.87% – Dividend Yield = 0.0205 - 0.058 (0.021)- 0.012 (0.026) + 0.0200 (0.2102)- 0.047 (0.08)= 1.94% Disney is paying out too little in dividends, with its payout ratio of 32.31% and its dividend yield of 0.91% For Aracruz ADR – Payout Ratio = 0.3889 - 0.738 (0.02)- 0.214 (0.20) + 0.193 (0.31) - 0.747 (0.23) = 21.71% – Dividend Yield = 0.0205 - 0.058 (0.02)- 0.012 (0.20)+ 0.0200 (0.31)0.047 (0.23) = 1.22% Aracruz is paying out too much in dividends, with its payout ratio of 37.41% and its dividend yield of 3% 38 Other Actions that affect Stock Prices In the case of dividends and stock buybacks, firms change the value of the assets (by paying out cash) and the number of shares (in the case of buybacks). There are other actions that firms can take to change the value of their stockholder’s equity. – Divestitures: They can sell assets to another firm that can utilize them more efficiently, and claim a portion of the value. – Spin offs: In a spin off, a division of a firm is made an independent entity. The parent company has to give up control of the firm. – Equity carve outs: In an ECO, the division is made a semi-independent entity. The parent company retains a controlling interest in the firm. – Tracking Stock: When tracking stock are issued against a division, the parent company retains complete control of the division. It does not have its own board of directors. 39 Differences in these actions 40 Valuation Aswath Damodaran 41 First Principles Invest in projects that yield a return greater than the minimum acceptable hurdle rate. – The hurdle rate should be higher for riskier projects and reflect the financing mix used - owners’ funds (equity) or borrowed money (debt) – Returns on projects should be measured based on cash flows generated and the timing of these cash flows; they should also consider both positive and negative side effects of these projects. Choose a financing mix that minimizes the hurdle rate and matches the assets being financed. If there are not enough investments that earn the hurdle rate, return the cash to stockholders. – The form of returns - dividends and stock buybacks - will depend upon the stockholders’ characteristics. Objective: Maximize the Value of the Firm 42 Discounted Cashflow Valuation: Basis for Approach t = n CF t Value = t t =1 (1 + r) – where, – n = Life of the asset – CFt = Cashflow in period t – r = Discount rate reflecting the riskiness of the estimated cashflows 43 Equity Valuation The value of equity is obtained by discounting expected cashflows to equity, i.e., the residual cashflows after meeting all expenses, tax obligations and interest and principal payments, at the cost of equity, i.e., the rate of return required by equity investors in the firm. Value of Equity = t=n CF t=1 to Equity t (1+ k e )t where, CF to Equityt = Expected Cashflow to Equity in period t ke = Cost of Equity The dividend discount model is a specialized case of equity valuation, and the value of a stock is the present value of expected future dividends. 44 Firm Valuation The value of the firm is obtained by discounting expected cashflows to the firm, i.e., the residual cashflows after meeting all operating expenses and taxes, but prior to debt payments, at the weighted average cost of capital, which is the cost of the different components of financing used by the firm, weighted by their market value proportions. Value of Firm = t=n CF to Firm t (1+ WACC)t t=1 where, CF to Firmt = Expected Cashflow to Firm in period t WACC = Weighted Average Cost of Capital 45 Generic DCF Valuation Model DISCOUNTED CASHFLOW VALUATION Expected Growth Firm: Growth in Operating Earnings Equity: Growth in Net Income/EPS Cash flows Firm: Pre-debt cash flow Equity: After debt cash flows Firm is in stable growth: Grows at constant rate forever Terminal Value Value Firm: Value of Firm CF1 CF2 CF3 CF4 CF5 CFn ......... Forever Equity: Value of Equity Length of Period of High Growth Discount Rate Firm:Cost of Capital Equity: Cost of Equity 46 Estimating Inputs: I. Discount Rates Critical ingredient in discounted cashflow valuation. Errors in estimating the discount rate or mismatching cashflows and discount rates can lead to serious errors in valuation. At an intuitive level, the discount rate used should be consistent with both the riskiness and the type of cashflow being discounted. The cost of equity is the rate at which we discount cash flows to equity (dividends or free cash flows to equity). The cost of capital is the rate at which we discount free cash flows to the firm. 47 Estimating Aracruz’s Cost of Equity We will do the Aracruz valuation in U.S. dollars. We will therefore use a U.S. dollar cost of equity. We estimated a beta for equity of 0.7576 for the paper business that Aracruz. With a nominal U.S. dollar riskfree rate of 4% and an equity risk premium of 12.49% for Brazil, we arrive at a dollar cost of equity of 13.46% Cost of equity = 4% + 0.7576 (12.49%) = 13.46% 48 Estimating Cost of Equity: Deutsche Bank Deutsche Bank is in two different segments of business - commercial banking and investment banking. – To estimate its commercial banking beta, we will use the average beta of commercial banks in Germany. – To estimate the investment banking beta, we will use the average bet of investment banks in the U.S and U.K. To estimate the cost of equity in Euros, we will use the German 10year bond rate of 4.05% as the riskfree rate and the US historical risk premium (4.82%) as our proxy for a mature market premium. Business Beta Cost of Equity Weights Commercial Banking 0.7345 7.59% 69.03% Investment Banking 1.5167 11.36% 30.97% Deutsche Bank 8.76% 49 Reviewing Disney’s Costs of Equity & Debt Business Medi a Networks Parks an d Resorts Studio Entertainment Consumer Products Disn e y D/E Unlevered Beta Ratio 1.08 5 0 26.6 2 % Lever e d Beta 1.26 6 1 Cost of Equit y 10.1 0 % 0.91 0 5 26.6 2 % 1.06 2 5 9.12% 1.14 3 5 26.6 2 % 1.33 4 4 10.4 3 % 1.13 5 3 1.06 7 4 26.6 2 % 26.6 2 % 1.32 4 8 1.24 5 6 10.3 9 % 10.0 0 % Disney’s Cost of Debt (based upon rating) = 5.25% Disney’s tax rate = 37.3% 50 Current Cost of Capital: Disney Equity – Cost of Equity = Riskfree rate + Beta * Risk Premium = 4% + 1.25 (4.82%) = 10.00% – Market Value of Equity = $55.101 Billion – Equity/(Debt+Equity ) = 79% Debt – After-tax Cost of debt =(Riskfree rate + Default Spread) (1-t) = (4%+1.25%) (1-.373) = 3.29% – Market Value of Debt = $ 14.668 Billion – Debt/(Debt +Equity) = 21% Cost of Capital = 10.00%(.79)+3.29%(.21) = 8.59% 55.101(55.101+14. 668) 51 II. Estimating Cash Flows Cash Flows To Equity The Strict View Dividends + Stock Buybacks To Firm The Broader View Net Income - Net Cap Ex (1-Debt Ratio) - Chg WC (1 - Debt Ratio) = Free Cashflow to Equity EBIT (1-t) - ( Cap Ex - Depreciation) - Change in Working Capital = Free Cashflow to Firm 52 Estimating FCFE last year: Aracruz 2003 numbers Normalized Net Income from operating assets $119.68 million $ 119.68 million - Net Capital Expenditures (1-DR) $ 37.31 million $ 71.45 million -Chg. Working Capital*(1-DR) $ 3.05 million $ 7.50 million Free Cashflow to Equity $ 79.32 million $ 40.73 million DR = Debt Ratio = Industry average book debt to capital ratio = 55.98% Equity Reinvestment = 71.45 million + 7.50 = $ 78.95 million Equity Reinvestment Rate = 78.95/ 119.68 = 65.97% 53 Estimating FCFF in 2003: Disney EBIT = $ 2,805 Million Tax rate = 37.30% Capital spending = $ 1,735 Million Depreciation = $ 1,254 Million Increase in Non-cash Working capital = $ 454 Million Estimating FCFF EBIT * (1 - tax rate) - Net Capital Expenditures -Change in Working Capital Free Cashflow to Firm $1,759 $481 $454 $824 : 2805 (1-.373) : (1735 - 1254) Total Reinvestment = Net Cap Ex + Change in WC = 481 + 454 = 935 Reinvestment Rate =935/1759 = 53.18% 54 6 Application Test: Estimating your firm’s FCFF Estimate the FCFF for your firm in its most recent financial year: In general, If using statement of cash flows EBIT (1-t) EBIT (1-t) + Depreciation + Depreciation - Capital Expenditures + Capital Expenditures - Change in Non-cash WC + Change in Non-cash WC = FCFF = FCFF Estimate the dollar reinvestment at your firm: Reinvestment = EBIT (1-t) - FCFF 55 Choosing a Cash Flow to Discount When you cannot estimate the free cash fllows to equity or the firm, the only cash flow that you can discount is dividends. For financial service firms, it is difficult to estimate free cash flows. For Deutsche Bank, we will be discounting dividends. If a firm’s debt ratio is not expected to change over time, the free cash flows to equity can be discounted to yield the value of equity. For Aracruz, we will discount free cash flows to equity. If a firm’s debt ratio might change over time, free cash flows to equity become cumbersome to estimate. Here, we would discount free cash flows to the firm. For Disney, we will discount the free cash flow to the firm. 56 III. Expected Growth Expected Growth Net Income Retention Ratio= 1 - Dividends/Net Income X Return on Equity Net Income/Book Value of Equity Operating Income Reinvestment Rate = (Net Cap Ex + Chg in WC/EBIT(1-t) X Return on Capital = EBIT(1-t)/Book Value of Capital 57 Expected Growth in EPS gEPS = Retained Earningst-1/ NIt-1 * ROE = Retention Ratio * ROE = b * ROE • Proposition 1: The expected growth rate in earnings for a company cannot exceed its return on equity in the long term. 58 Estimating Expected Growth in EPS: Deutsche Bank In 2003, Deutsche Bank reported net income of $1,365 million on a book value of equity of $29,991 million at the end of 2002. – Return on Equity = Net Income2003/ Book Value of Equity2002 = 1365/29,991 = 4.55% This is lower than the cost of equity for the firm, which is 8.76%, and the average return on equity for European banks, which is 11.26%. In the four quarters ended in March 2004, Deutsche Bank paid out dividends per share of 1.50 Euros on earnings per share of 4.33 Euros. – Retention Ratio = 1 – Dividends per share/ Earnings per share = 1 – 1.50/4.33 = 65.36% If Deutsche maintains its existing return on equity and retention ratio for the long term, its expected growth rate will be anemic. – Expected Growth Rate = Retention Ratio * ROE = .6536*.0455 = 2.97% For the next five years, we will assume that the return on equity will improve to the industry average of 11.26% while the retention ratio will stay unchanged at 65.36%. The expected growth in earnings per share is 7.36%. – Expected Growth Rate Modified Fundamentals = .6536 * .1126 = .0736 59 Estimating Expected Growth in Net Income: Aracruz Rather than base the equity reinvestment rate on the most recent year’s numbers, we will use the average values for each of the variables over the last 6 years to compute a “normalized” equity reinvestment rate: – Normalized Equity Reinvestment Rate = Average Equity Reinvestment99-03/ Average Net Income99-03 = 213.17/323.12 = 65.97% To estimate the return on equity, we look at only the portion of the net income that comes from operations (ignoring the income from cash and marketable securities) and divide by the book value of equity net of cash and marketable securities. – Non-cash ROE = (Net Income – After-tax Interest income on cash)2003/ (BV of Equity – Cash)2002 – Non-cash ROEAracruz = (148.09 – 43.04(1-.34))/ (1760.58-273.93) = .0805 or 8.05% Expected Growth in Net Income = Equity Reinvestment Rate * Non-cash ROE = 65.97% * 8.05% = 5.31% 60 ROE and Leverage ROE = ROC + D/E (ROC - i (1-t)) where, ROC = (EBIT (1 - tax rate)) / Book Value of Capital = EBIT (1- t) / Book Value of Capital D/E = BV of Debt/ BV of Equity i = Interest Expense on Debt / Book Value of Debt t = Tax rate on ordinary income Note that BV of Capital = BV of Debt + BV of Equity. 61 Decomposing ROE Assume that you are analyzing a company with a 15% return on capital, an after-tax cost of debt of 5% and a book debt to capital ratio of 100%. Estimate the ROE for this company. Now assume that another company in the same sector has the same ROE as the company that you have just analyzed but no debt. Will these two firms have the same growth rates in earnings per share if they have the same dividend payout ratio? Will they have the same equity value? 62 Expected Growth in EBIT And Fundamentals Reinvestment Rate and Return on Capital gEBIT = (Net Capital Expenditures + Change in WC)/EBIT(1-t) * ROC = Reinvestment Rate * ROC Proposition 2: No firm can expect its operating income to grow over time without reinvesting some of the operating income in net capital expenditures and/or working capital. Proposition 3: The net capital expenditure needs of a firm, for a given growth rate, should be inversely proportional to the quality of its investments. 63 Estimating Growth in EBIT: Disney We begin by estimating the reinvestment rate and return on capital for Disney in 2003, using the numbers from the latest financial statements. We did convert operating leases into debt and adjusted the operating income and capital expenditure accordingly. – Reinvestment Rate2003 = (Cap Ex – Depreciation + Chg in non-cash WC)/ EBIT (1-t) = (1735 – 1253 + 454)/(2805(1-.373)) = 53.18% – Return on capital2003 = EBIT (1-t)2003/ (BV of Debt2002 + BV of Equity2002) = 2805 (1-.373)/ (15,883+23,879) = 4.42% – Expected Growth Rate from existing fundamentals = 53.18% * 4.42% = 2.35% We will assume that Disney will be able to earn a return on capital of 12% on its new investments and that the reinvestment rate will be 53.18% for the immediate future. – Expected Growth Rate in operating income = Return on capital * Reinvestment Rate = 12% * .5318 = 6.38% 64 6 Application Test: Estimating Expected Growth Estimate the following: – The reinvestment rate for your firm – The after-tax return on capital – The expected growth in operating income, based upon these inputs 65 IV. Getting Closure in Valuation A publicly traded firm potentially has an infinite life. The value is therefore the present value of cash flows forever. Value = t = CF t t t = 1 (1+ r) Since we cannot estimate cash flows forever, we estimate cash flows for a “growth period” and then estimate a terminal value, to capture the value at the end of the period: t = N CFt Terminal Value Value = t (1 + r)N t = 1 (1 + r) 66 Stable Growth and Terminal Value When a firm’s cash flows grow at a “constant” rate forever, the present value of those cash flows can be written as: Value = Expected Cash Flow Next Period / (r - g) where, r = Discount rate (Cost of Equity or Cost of Capital) g = Expected growth rate This “constant” growth rate is called a stable growth rate and cannot be higher than the growth rate of the economy in which the firm operates. While companies can maintain high growth rates for extended periods, they will all approach “stable growth” at some point in time. When they do approach stable growth, the valuation formula above can be used to estimate the “terminal value” of all cash flows beyond. 67 Growth Patterns A key assumption in all discounted cash flow models is the period of high growth, and the pattern of growth during that period. In general, we can make one of three assumptions: – there is no high growth, in which case the firm is already in stable growth – there will be high growth for a period, at the end of which the growth rate will drop to the stable growth rate (2-stage) – there will be high growth for a period, at the end of which the growth rate will decline gradually to a stable growth rate(3-stage) The assumption of how long high growth will continue will depend upon several factors including: – the size of the firm (larger firm -> shorter high growth periods) – current growth rate (if high -> longer high growth period) – barriers to entry and differential advantages (if high -> longer growth period) 68 Length of High Growth Period Assume that you are analyzing two firms, both of which are enjoying high growth. The first firm is Earthlink Network, an internet service provider, which operates in an environment with few barriers to entry and extraordinary competition. The second firm is Biogen, a biotechnology firm which is enjoying growth from two drugs to which it owns patents for the next decade. Assuming that both firms are well managed, which of the two firms would you expect to have a longer high growth period? Earthlink Network Biogen Both are well managed and should have the same high growth period 69 Choosing a Growth Period: Examples Firm Size/Market Size Current Ex cess Returns Comp etitive Advantages Length of High Gro wth period Disney Aracruz Deutsche Bank Firm is one of the largest players in the entertainment and theme park businesses but the businesses are redefining themselves and expanding. Firm is earning less than its cost of capital, and has done so for last fe w years Has some of the mo st recognized brand names in the world. Knows more about operating theme parks than any other firm in the world. Has skilled animation studio staff. 10 years, entirely because of its strong competitive advantages (which have been wasted over the last few years) but the excess returns are likely to be small. Firm has a small market share of the paper/pulp business, but the business is mature. Firm has a significant mark et share of a mature business. Returns on capital are largely a function of paper/pulp pric es but, on averag e, have been less than the cost of capital. Cost advantages because of access to Brazilian rainforests. Has invested in newer, updated plants and has skilled workforce. Firm has a return on equity that has lagged its cost of equity in recent years. 5 years, largely due to access to cheap raw material. 5 years, mo stly to allow fir ms to recover to pre-downturn levels. Has an edge in the commercial banking business in Ger many but this advantage is dissipating in the EU. 70 Firm Characteristics as Growth Changes Variable Risk Dividend Payout Net Cap Ex Return on Capital Leverage High Growth Firms tend to be above-average risk pay little or no dividends have high net cap ex earn high ROC (excess return) have little or no debt Stable Growth Firms tend to be average risk pay high dividends have low net cap ex earn ROC closer to WACC higher leverage 71 Estimating Stable Growth Inputs Start with the fundamentals: – Profitability measures such as return on equity and capital, in stable growth, can be estimated by looking at industry averages for these measure, in which case we assume that this firm in stable growth will look like the average firm in the industry cost of equity and capital, in which case we assume that the firm will stop earning excess returns on its projects as a result of competition. – Leverage is a tougher call. While industry averages can be used here as well, it depends upon how entrenched current management is and whether they are stubborn about their policy on leverage (If they are, use current leverage; if they are not; use industry averages) Use the relationship between growth and fundamentals to estimate payout and net capital expenditures. 72 Estimating Stable Period Inputs: Disney The beta for the stock will drop to one, reflecting Disney’s status as a mature company. This will lower the cost of equity for the firm to 8.82%. Cost of Equity = Riskfree Rate + Beta * Risk Premium = 4% + 4.82% = 8.82% The debt ratio for Disney will rise to 30%. This is the optimal we computed for Disney in chapter 8 and we are assuming that investor pressure will be the impetus for this change. Since we assume that the cost of debt remains unchanged at 5.25%, this will result in a cost of capital of 7.16% Cost of capital = 8.82% (.70) + 5.25% (1-.373) (.30) = 7.16% The return on capital for Disney will drop from its high growth period level of 12% to a stable growth return of 10%. This is still higher than the cost of capital of 7.16% but the competitive advantages that Disney has are unlikely to dissipate completely by the end of the 10th year. The expected growth rate in stable growth will be 4%. In conjunction with the return on capital of 10%, this yields a stable period reinvestment rate of 40%: Reinvestment Rate = Growth Rate / Return on Capital = 4% /10% = 40% 73 A Dividend Discount Model Valuation: Deutsche Bank We estimated the annual growth rate for the next 5 years at Deutsche Bank to be 7.36%, based upon an estimated ROE of 11.26% and a retention ratio of 65.36%. In 2003, the earnings per share at Deutsche Bank were 4.33 Euros, and the dividend per share was 1.50 Euros. Our earlier analysis of the risk at Deutsche Bank provided us with an estimate of beta of 0.98, which used in conjunction with the Euro riskfree rate of 4.05% and a risk premium of 4.82%, yielded a cost of equity of 8.76% 74 Expected Dividends and Terminal Value Year EPS Pa yo u t Ra tio DPS 1 € 4 .6 5 3 4 .6 4 % € 1 .6 1 2 € 4 .9 9 3 4 .6 4 % € 1 .7 3 3 € 5 .3 6 3 4 .6 4 % € 1 .8 6 4 € 5 .7 5 3 4 .6 4 % € 1 .9 9 5 € 6 .1 8 3 4 .6 4 % € 2 .1 4 Pre s e n t value of expe c ted d ividends = PV at 8. € 1 .4 € 1 .4 € 1 .4 € 1 .4 € 1 .4 € 7 .2 76 % 8 6 4 2 1 2 75 Terminal Value and Present Value… At the end of year 5, we will assume that Deutsche Bank’s earnings growth will drop to 4% and stay at that level in perpetuity. In keeping with the assumption of stable growth, we will also assume that – The beta will rise marginally to 1, resulting in a slightly higher cost of equity of 8.87%. Cost of Equity = Riskfree Rate + Beta * Risk Premium = 4.05%+ 4.82% = 8.87% – The return on equity will drop to the cost of equity of 8.87%, thus preventing excess returns from being earned in perpetuity. Stable Period Payout Ratio = 1 – g/ ROE = 1- .04/.0887 = .5490 or 54.9% Expected Dividends in year 6 = Expected EPS6 * Stable period payout ratio =€6.18 (1.04) * .549 = €3.5263 – Terminal Value per share = Expected Dividends in year 6/ (Cost of equity – g) = €3.5263/(.0887 - .04) = €72.41 – Present value of terminal value = 72.41/1.08765 = 47.59 Value per share = PV of expected dividends in high growth + PV of terminal value = €7.22 + €47.59 = €54.80 Deutsche Bank was trading at €66 at the time of this analysis. 76 What does the valuation tell us? Stock is overvalued: This valuation would suggest that Deutsche Bank is significantly overvalued, given our estimates of expected growth and risk. Dividends may not reflect the cash flows generated by Deutsche Bank. The FCFE could have been significantly higher than the dividends paid. Estimates of growth and risk are wrong: It is also possible that we have underestimated growth or overestimated risk in the model, thus reducing our estimate of value. 77 A FCFE Valuation: Aracruz Celulose The net income for the firm in 2003 was $148.09 million but $28.41 million of this income represented income from financial assets. The net income from non-operating assets is $119.68 million. Inputs estimated for high growth period – Expected Growth in Net Income = Equity Reinvestment Rate * Non-cash ROE = 65.97% * 8.05% = 5.31% – Cost of equity = 4% + 0.7576 (12.49%) = 13.46% After year 5, we will assume that the beta will remain at 0.7576 and that the equity risk premium will decline to 8.66%. – Cost of equity in stable growth = 4% + 0.7576 (8.66%) = 10.56% – We will also assume that the growth in net income will drop to the inflation rate (in U.S. dollar terms) of 2% and that the return on equity will rise to 10.56% (which is also the cost of equity). – Equity Reinvestment RateStable Growth = Expected Growth Rate/ Return on Equity = 2%/10.56% = 18.94% 78 Aracruz: Estimating FCFE for next 5 years Net Income (non-cash) Equity Reinvestment Rate FCFE Present Value at 10.33% 1 $126.04 65.97% $42.89 $37.80 2 $132.74 65.97% $45.17 $35.09 3 $139.79 65.97% $47.57 $32.56 4 $147.21 65.97% $50.09 $30.23 5 $155.03 65.97% $52.75 $28.05 – FCFE in year 6 = Net Income in year 6 (1- Equity Reinvestment RateStable Growth) = 155.03 (1.02) (1- .1894) = $128.18 million – Terminal value of equity = 128.18/(.1056-.02) = $1497.98 million Present Value of FCFEs in high growth phase = + Present Value of Terminal Equity Value = 1497.98/1.13465 = Value of equity in operating assets = + Value of Cash and Marketable Securities = Value of equity in firm = Value of equity/share = $1,312.56/859.59 = Value of equity/share in BR = $1.53 * 3.15 BR/$ = Stock price $163.73 $796.55 $960.28 $352.28 $1,312.56 $1.53/share 4.81 BR/share 7.50 BR/share 79 Disney Valuation Model Used: – Cash Flow: FCFF (since I think leverage will change over time) – Growth Pattern: 3-stage Model (even though growth in operating income is only 10%, there are substantial barriers to entry) 80 Disney: Inputs to Valuation High Growth Phase Transition Phase 5 years 5 years Length o f Period Tax Rate 37.3% Return on Capital 12% (last year’s return o Stable Growth Phase Forever afte r 10 years 37.3% 37.3% n Declines linearly to 16% Stable ROC of 10% capital was 4.42%) Reinve stment Rate 53.18% (Last year’s Declines to 31.25% as ROC 40% of afte r-tax operatin g (Net Cap Ex + Working Capita l reinvestment rate) and growth rates drop: income, estimated from stabl Investments/EBIT) Reinvestment Rate = g/ROC growth rate of 4% and e return on capital o f 10%. Reinvestment rate = 4/10 =40% Expected Growth Rate i n EBIT ROC * Reinvestment Rate = Linear decline t o Stable 4%: Set to riskfree rate 12%*0.5318 = 6.38% Growth Rate of 4% Debt/Capital Ratio 21% (Existing debt ratio) Increases line arly to 30% Stable debt rati o of 30% Risk Parameters Beta = 1.25, ke = 10% Beta decreases linearly to 1.00; Beta = 1.00; k e = 8.82% Cost of Debt = 5.25% Cost of debt stays at 5.25% Cost of debt stays at 5.25% Cost of capital = 8.59% Cost of capital drops t o 7.16% Cost of capital = 7.16% 81 Disney: FCFF Estimates Year Cur re nt 1 2 3 4 5 6 7 8 9 10 Ex p e c t e d Gro w th 6 .3 8 % 6 .3 8 % 6 .3 8 % 6 .3 8 % 6 .3 8 % 5 .9 0 % 5 .4 3 % 4 .9 5 % 4 .4 8 % 4 .0 0 % EBIT $ 2 ,80 $ 2 ,98 $ 3 ,17 $ 3 ,37 $ 3 ,59 $ 3 ,82 $ 4 ,04 $ 4 ,26 $ 4 ,47 $ 4 ,67 $ 4 ,86 EBIT (1t) 5 4 4 7 2 2 7 7 8 9 6 $ 1 ,87 $ 1 ,99 $ 2 ,11 $ 2 ,25 $ 2 ,39 $ 2 ,53 $ 2 ,67 $ 2 ,80 $ 2 ,93 $ 3 ,05 1 0 7 2 6 8 5 8 4 1 Reinv e s tm e n t Rat e Reinv e s tm e n t 5 3 .1 8 % 5 3 .1 8 % 5 3 .1 8 % 5 3 .1 8 % 5 3 .1 8 % 5 0 .5 4 % 4 7 .9 1 % 4 5 .2 7 % 4 2 .6 4 % 4 0 .0 0 % $ 9 9 4.92 $ 1 ,05 8 .4 1 $ 1 ,12 5 .9 4 $ 1 ,19 7 .7 9 $ 1 ,27 4 .2 3 $ 1 ,28 2 .5 9 $ 1 ,28 1 .7 1 $ 1 ,27 1 .1 9 $ 1 ,25 0 .7 8 $ 1 ,22 0 .4 1 FCFF $ 8 7 6.06 $ 9 3 1.96 $ 9 9 1.43 $ 1 ,05 4 .7 0 $ 1 ,12 2 .0 0 $ 1 ,25 5 .1 3 $ 1 ,39 3 .7 7 $ 1 ,53 6 .8 0 $ 1 ,68 2 .9 0 $ 1 ,83 0 .6 2 82 Disney: Costs of Capital and Present Value Year Co st of c ap ital FCFF 1 8 .5 9 % $ 8 7 6.06 2 8 .5 9 % $ 9 3 1.96 3 8 .5 9 % $ 9 9 1.43 4 8 .5 9 % $ 1 ,05 4 .7 0 5 8 .5 9 % $ 1 ,12 2 .0 0 6 8 .3 1 % $ 1 ,25 5 .1 3 7 8 .0 2 % $ 1 ,39 3 .7 7 8 7 .7 3 % $ 1 ,53 6 .8 0 9 7 .4 5 % $ 1 ,68 2 .9 0 10 7 .1 6 % $ 1 ,83 0 .6 2 PV of cashflows du rin g hig h g ro wth = PV of FCFF $ 8 0 6.74 $ 7 9 0.31 $ 7 7 4.21 $ 7 5 8.45 $ 7 4 3.00 $ 7 6 7.42 $ 7 8 8.91 $ 8 0 7.42 $ 8 2 2.90 $ 8 3 5.31 $ 7 ,89 4 .6 6 83 Disney: Terminal Value and Firm Value Terminal Value – FCFF11 = EBIT11 (1-t) (1- Reinvestment RateStable Growth)/ = 4866 (1.04) (1-.40) = $1,903.84 million – Terminal Value = FCFF11/ (Cost of capitalStable Growth – g) = 1903.84/ (.0716 - .04) = $60,219.11 million Value of firm PV of cashflows during the high growth phase =$ 7,894.66 PV of terminal value =$ 27,477.81 + Cash and Marketable Securities =$ 1,583.00 + Non-operating Assets (Holdings in other companies) =$ 1,849.00 Value of the firm =$ 38,804.48 84 From Firm to Equity Value: What do you subtract out? The first thing you have to subtract out is the debt that you computed (and used in estimating the cost of capital). If you have capitalized operating leases, you should continue to treat operating leases as debt in this stage in the process. This is also your last chance to consider other potential liabilities that may be faced by the firm including – Expected liabilities on lawsuits: You could be analyzing a firm that is the defendant in a lawsuit, where it potentially could have to pay tens of millions of dollars in damages. You should estimate the probability that this will occur and use this probability to estimate the expected liability. – Unfunded Pension and Health Care Obligations: If a firm has significantly under funded a pension or a health plan, it will need to set aside cash in future years to meet these obligations. While it would not be considered debt for cost of capital purposes, it should be subtracted from firm value to arrive at equity value. – Deferred Tax Liability: The deferred tax liability that shows up on the financial statements of many firms reflects the fact that firms often use strategies that reduce their taxes in the current year while increasing their taxes in the future years. 85 From Equity Value to Equity Value per share: The Effect of Options When there are warrants and employee options outstanding, the estimated value of these options has to be subtracted from the value of the equity, before we divide by the number of shares outstanding. There are two alternative approaches that are used in practice: – One is to divide the value of equity by the fully diluted number of shares outstanding rather than by the actual number. This approach will underestimate the value of the equity, because it fails to consider the cash proceeds from option exercise. – The other shortcut, which is called the treasury stock approach, adds the expected proceeds from the exercise of the options (exercise price multiplied by the number of options outstanding) to the numerator before dividing by the number of shares outstanding. While this approach will yield a more reasonable estimate than the first one, it does not include the time value of the options outstanding. 86 Valuing Disney’s options… At the end of 2003, Disney had 219 million options outstanding, with a weighted average exercise price of $26.44 and weighted average life of 6 years. Using the current stock price of $26.91, an estimated standard deviation of 40, a dividend yield of 1.21%. a riskfree rate of 4% and the Black-Scholes option pricing model we arrived at a value of $2,129 million. Since options expenses are tax-deductible, we used the tax rate of 37.30% to estimate the value of the employee options: Value of employee options = 2129 (1- .373) = $1334.67 million 87 Disney: Value of Equity per Share Subtracting out the market value of debt (including operating leases) of $14,668.22 million and the value of the equity options (estimated to be worth $1,334.67 million in illustration 12.10) yields the value of the common stock: Value of equity in common stock = Value of firm – Debt – Equity Options = $38,804.48 - $14,668.22 - $1334.67 = $ 22,801.59 Dividing by the number of shares outstanding (2047.60 million), we arrive at a value per share o $11.14, well below the market price of $ 26.91 at the time of this valuation. 88 Disney: Valuation Current Cashflow to Firm EBIT(1-t) : 1,759 - Nt CpX 481 - Chg WC 454 = FCFF $ 824 Reinvestment Rate=(481+454)/1759 = 53.18% Return on Capital 12% Reinvestment Rate 53.18%% Stable Growth g = 4%; Beta = 1.00; Cost of capital = 7.16% ROC= 10% Reinvestment Rate=g/ROC =4/ 10= 40% Expected Growth in EBIT (1-t) .5318*.12=.0638 6.38 % Terminal Value10= 1,904/(.0716-.04) = 60,219 Op. Assets + Cash: +Other Inv - Debt =Equity - Options =Equity CS Value/Sh 35,373 3,432 14,668 24,136 1,335 22,802 $11.14 Cashflows EBIT (1-t) - Reinves tment FCFF $1,990 $1,058 $932 $2,117 $1,126 $991 $2,252 $1,198 $1,055 $2,396 $1,274 $1,122 $2,538 $1,283 $1,255 $2,675 $1,282 $1,394 $2,808 $1,271 $1,537 $2,934 $1,251 $1,683 $3,051 $1,220 $1,831 Term Yr 3089 - 864 = 2225 Discount at Cost of Capital (WACC) = 10.00% (.79) + 3.29% (0.21) = 8.59 In transition phase, debt ratio increases to 30% and cost of capital decreases to 7.16% Cost of Equity 10% Riskfree Rate : Riskfree Rate= 4% $1,871 $995 $876 Growth drops to 4% Cost of Debt (4.00%+1.25%)(1-.373) = 3.29% Weights E = 79% D = 21% Disney was trading at ab $ 26 at the time of this valuation. + Beta 1.2456 Unlevered Beta for Sectors: 1.0674 X Mature market premium 4% Firm’s D/E Ratio: 24.77% 89 90 91 Relative Valuation In relative valuation, the value of an asset is derived from the pricing of 'comparable' assets, standardized using a common variable such as earnings, cashflows, book value or revenues. Examples include -• Price/Earnings (P/E) ratios and variants (EBIT multiples, EBITDA multiples, Cash Flow multiples) • Price/Book (P/BV) ratios and variants (Tobin's Q) • Price/Sales ratios 92 Multiples and Fundamenals P0 DPS1 r gn Gordon Growth Model: Dividing both sides by the earnings, P0 Payout Ratio * (1 g n ) PE = EPS0 r-gn Dividing both sides by the book value of equity, P0 ROE * Payout Ratio * (1 g n ) PBV = BV 0 r-g n If the return on equity is written in terms of the retention ratio and the expected growth rate P ROE - g 0 BV 0 PBV = n r-gn Dividing by the Sales per share, P0 Profit Margin * Payout Ratio * (1 g n ) PS = Sales 0 r-gn 93 Disney: Relative Valuation Company Name Point 360 Fox Entmt Group Inc Belo Corp. 'A' Hearst-Argyle Television Inc Journal Communications Inc. Saga Commu nic. 'A' Viacom Inc. 'B' Pixar Disney (Walt) Westwood One World Wre stling Ent. Cox Radio 'A' Inc Beasley Broadcast Group Inc Entercom Comm . Corp Liberty Corp. Ball antyne of Omah a Inc Regent Communications Inc Emmi s Commu nications Cumulus Media Inc Univision Communic. Salem Communications Corp Average for sector Ticker Symbol PTSX FOX BLC HTV JRN SGA VIA/B PIXR DIS WON WWE CXR BBGI ETM LC BTNE RGCI EMMS CMLS UVN SALM PE 10.62 22.03 25.65 26.72 27.94 28.42 29.38 29.80 29.87 32.59 33.52 33.76 34.06 36.11 37.54 55.17 57.84 74.89 94.35 122.76 145.67 47.08 Expected Growth Rate 5.00% 14.46% 16.00% 12.90% 10.00% 19.00% 13.50% 16.50% 12.00% 19.50% 20.00% 18.70% 15.23% 15.43% 19.50% 17.10% 22.67% 16.50% 23.30% 24.50% 28.75% 17.17% PEG 2.12 1.52 1.60 2.07 2.79 1.50 2.18 1.81 2.49 1.67 1.68 1.81 2.24 2.34 1.92 3.23 2.55 4.54 4.05 5.01 5.07 2.74 94 Is Disney fairly valued? Based upon the PE ratio, is Disney under, over or correctly valued? Under Valued Over Valued Correctly Valued Based upon the PEG ratio, is Disney under valued? Under Valued Over Valued Correctly Valued Will this valuation give you a higher or lower valuation than the discounted cashflow valuation? Higher Lower 95 Relative Valuation Assumptions Assume that you are reading an equity research report where a buy recommendation for a company is being based upon the fact that its PE ratio is lower than the average for the industry. Implicitly, what is the underlying assumption or assumptions being made by this analyst? The sector itself is, on average, fairly priced The earnings of the firms in the group are being measured consistently The firms in the group are all of equivalent risk The firms in the group are all at the same stage in the growth cycle The firms in the group are of equivalent risk and have similar cash flow patterns All of the above 96 First Principles Invest in projects that yield a return greater than the minimum acceptable hurdle rate. – The hurdle rate should be higher for riskier projects and reflect the financing mix used - owners’ funds (equity) or borrowed money (debt) – Returns on projects should be measured based on cash flows generated and the timing of these cash flows; they should also consider both positive and negative side effects of these projects. Choose a financing mix that minimizes the hurdle rate and matches the assets being financed. If there are not enough investments that earn the hurdle rate, return the cash to stockholders. – The form of returns - dividends and stock buybacks - will depend upon the stockholders’ characteristics. Objective: Maximize the Value of the Firm 97